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Kinetic equations and hierarchies of evolution equations of quantum systems

Mathematical Physics 2022-05-17 v1 Statistical Mechanics Analysis of PDEs math.MP Quantum Physics

Abstract

The article provides an overview of some advances in the mathematical understanding of the nature of the kinetic equations of quantum systems of many particles. The fundamental equations of modern mathematical physics are studied, in particular, the hierarchies of evolution equations of quantum systems and their asymptotic behavior described by kinetic nonlinear equations.

Keywords

Cite

@article{arxiv.2107.10872,
  title  = {Kinetic equations and hierarchies of evolution equations of quantum systems},
  author = {V. I. Gerasimenko},
  journal= {arXiv preprint arXiv:2107.10872},
  year   = {2022}
}

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28 pages